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DTSTART:20180325T030000
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DTSTAMP:20260427T114705Z
UID:5853d1ad98021592593951@ist.ac.at
DTSTART:20171102T130000
DTEND:20171102T150000
DESCRIPTION:Speaker: Andras Juhasz\nhosted by Tamas Hausel\nAbstract: We gi
 ve a presentation of the n-dimensional oriented cobordism category Cob_n w
 ith generators corresponding to diffeomorphisms and surgeries along framed
  spheres\, and a complete set of relations. Hence\, given a functor F from
  the category of smooth oriented manifolds and diffeomorphisms to an arbit
 rary category C\, and morphisms induced by surgeries along framed spheres\
 , we obtain a necessary and sufficient set of relations these have to sati
 sfy to extend to a functor from Cob_n to C.If C is symmetric and monoidal\
 , then we also characterize when the extension is a TQFT.This framework is
  well-suited to defining natural cobordism maps in Heegaard Floer homology
 . Finally\, we use it to classify (2+1)-dimensional TQFTs in terms of J-al
 gebras\, a new algebraic structure that consists of a split graded involut
 ive nearly Frobenius algebra endowed with a certain mapping class group re
 presentation.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Andras Juhasz: Defining and classifying TQFTs via surgery
URL:https://talks-calendar.ista.ac.at/events/890
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